14 A formula for determining the finite sum, S, of an arithmetic sequence of numbers is
S=n/2(a+b)
where n is the number of terms, a is the first term, and b is the last term.
Express b in terms of a, S, and n.

Answers

Answer 1

Answer:

b = 2S/n - a.

Step-by-step explanation:

S=n/2(a + b)

a + b = S / n/2

a + b = 2S/n

b = 2S/n - a.

Answer 2

If the formula for determining the sum of the given arithmetic sequence is S = n/2(a + b), then 'b' can be expressed as b = [(2S/n) - a].

What is an arithmetic sequence ?

An arithmetic sequence is a sequence where the difference between any to consecutive terms are always equal.

Here, a and b are the first and the last terms respectively and n is the number of terms.

Therefore, the sum of the arithmetic sequence is:

S = n/2(a + b)

⇒ 2S/n = (a + b)

⇒ b = (2S/n) - a

Learn more about an arithmetic sequence here: https://brainly.com/question/25715593

#Tag #SPJ2


Related Questions

Fill in the missing number. 40% of = 800

Answers

Answer:

40% of 800 is 320

Step-by-step explanation:

0.40×800=320

Write 40% as
40/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
40/100 of 800 = 40/100× 800

Therefore, the answer is
If you are using a calculator, simply enter 40÷100×800 which will give you as the answer.

Tarek will spend at most $26 on gifts. So far, he has spent $14. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tarek will spend.
Write your answer as an inequality solved for c.

Answers

Answer:

c<$12

Step-by-step explanation:

$26-$14>c

$12>c

c<$12

Answer:

14 + c ≤ 26

Step-by-step explanation:

Since Tarek can spend at most $26, then the symbol to represent this relationship/inequality is ≤ (less than or equal to). He's already spent $14, so 14 plus an additional amount should be less than or equal to 26!

If six angles of a heptagon have measures of 122, 153, 168, 105, 162, and 87, what is the measure of the seventh angle?

Answers

Answer:

he seventh angles measure is 103

Step-by-step explanation:

Interior angles = (number of side in the polygon - 2) times 180.

So Heptagon interior angles = (7-2)(180) = 900

To find the missing angles add all the given angles together (122, 153, 168, 105, 162, and 87) = 797.

Now   The measure of the seventh angles = total angles measure - the six given angles,

  The seventh angles measure is 103  

   900 - 797 = 103

Cuantos lugares sobran de acuerdo con el número de las mesas y de los invitados que te tienen?

Answers

Answer:la cantidad de invitados y la cantidad de mesas que no nos dio por favor agréguelo para que pueda ayudarlo :))

Step-by-step explanation:

Carmel draws a plan of her school using a scale of 1 cm to 5 m.
On the plan, the playground is 6 cm long.
What is the real length of the playground?

Answers

Answer:

30m

Step-by-step explanation:

If 1=5

Then

6=?

6÷1×5=30m

Find the least square number divisible by 5, 10, 15. (a) 100 (b) 625 (c) 900 (d) 225​

Answers

Answer:-

900

Verification:-

[tex]\\ \sf\longmapsto \dfrac{900}{5}=180[/tex]

[tex]\\ \sf\longmapsto \dfrac{900}{10}=90[/tex]

[tex]\\ \sf\longmapsto \dfrac{900}{15}=6[/tex]

Answer:

a) 100

→ [tex]\frac{100}{5}[/tex] = 20

→ [tex]\frac{100}{10}[/tex] = 10

→ [tex]\frac{100}{15}[/tex] = 6⅔

100 is not divisible by 15

b) 625

→ [tex]\frac{625}{5}[/tex] = 125

→ [tex]\frac{625}{10}[/tex] = 62.5

→ [tex]\frac{625}{15}[/tex] = 41.6

625 is not divisible by 10 and 15.

c) 900

→ [tex]\frac{900}{5}[/tex] = 180

→ [tex]\frac{900}{10}[/tex] = 90

→ [tex]\frac{900}{15}[/tex] = 60

900 is the correct answer.

d) 225

→ [tex]\frac{225}{5}[/tex] = 45

→ [tex]\frac{225}{10}[/tex] = 22.5

→ [tex]\frac{225}{15}[/tex] = 15

225 is not divisible by 15

900 is the correct answer.

which of the following inequalities is graphed above?

Answers

Answer:

1st option

y=-3/8x+3

Due tomorrow please help

Answers

Answer:

The choice B.

[tex]x > 4 \\ x < - 1[/tex]

I hope I helped you^_^

How many wholes are there in 7/3

Answers

Answer: there are 2 whole in 7/3

Step-by-step explanation: 7 divided by 3 is 2r1. 7/3 = 2 1/3

PLEASE HELP! ASAP I NEED HELP!

Answers

a) 314.285728572857.......

b) i think 5.4 boxes

c) its an under estimate cuz actual value is more than 5

Step-by-step explanation:

a) To find the area of her garden, you need to know the area of a circle: πr²

diameter = 20m

radius = 10m

3.14 × 10² = 314m²

b) If 1 box covers 58m², then we need to work out how many 58m² can fit into her garden, but because its an estimate we round the numbers to 1 significant figure

314 ÷ 58 ≈ 300 ÷ 60 = 5

c) The answer is an underestimate because the actual value is 5.4137...

314 ÷ 58 = 5.4137..

Question 6 of 25
What is sin 45°?

Answers

Answer:

B.

[tex] \frac{1}{ \sqrt{2} } [/tex]

i need help to a can get an A

Answers

Answer:

See below:

Step-by-step explanation:

We can use the Pythagorean Theorum to find out the missing side because we have a 90 degree right angle and 2 sides already given to us.

The Pythagorean Theorem states that a^2 + b^2 = c^2

a in this case would be the shortest side,

b in this case would be the 2nd longest side,

c is the hypotenuse.

[tex]a^{2} + b^{2}= c^{2} \\a^{2} + 15^{2} = 17^{2}[/tex]

If we solve this, we get 8!

Cheers!

DO NOT ANSWER IF YOU DO NOT KNOW


What is 1 way you can tell if two people are paying the same rate?

Answers

Answer:

By saying "paying the same rate"

I believe you want to know for example when two people are buying a product how to know if they are paying the same amount.

If so then there are a couple of factors at play.

First of all you need to identify the GDP of the product and the amount of tax/VAT which if calculated properly may help you tell if they are paying the same amount or not.

HELP PLEASE THIS IS DUE TOMORROW 1. Mr. Connors drives his car 11 miles each day to and from work. Is the distance Mr. Connors drives commuting to work proportional to the number of days he works? How do you know?​

Answers

Answer:

short answer Yes and No

Step-by-step explanation:

long answer

let's say he drives to and from work 5 days a week that's 110 hours driving to and from work. But let's say he only drives to work and from work 2 days a week that only 44 hours driving to and from work. But now let's say he only drives 2 days a week but has to keep driving to and back from work because he forgets something at his house or at work and say he hasto drive and extra 77 hours because he forgot something that's now 99 hours he drove to and from work but only worked 2 days out of the week

Hope this helped :)

Find the 21st term of the arithmetic sequence an=9+3(n-4) a21=

Answers

Answer:

120

Step-by-step explanation:

Given arithmetic sequence

3,5,7,9,.........,21

The first term a=3 & a common difference d=5−3=7−5=⋯=2

If there are n number of terms in the above A.P. then last term l=21 will be the nth term given as

l=a+(n−1)d

21=3+(n−1)2

n=10

hence the sum of given arithmetic progression (A.P.) up to 10 terms is given general formula

Sn=n2(a+l)

S10=102(3+21)

=120

Can anyone please help me with this?

Answers

Answer:

m∠QPT = 110°

Step-by-step explanation:

1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.

This means that 6x + 20 = x + 40 + 4x - 5. Then, we can plug in the value of x into 6x + 20 and find the measure of ∠QPT.

2. (Solving)

Step 1: Combine like terms.

[tex]6x + 20 = (x+4x)+(40-5)[/tex] [tex]6x + 20 = 5x + 35[/tex]

Step 2: Subtract 20 from both sides.

[tex]6x + 20 - 20 = 5x + 35 - 20[/tex] [tex]6x = 5x +15[/tex]

Step 3: Subtract 5x from both sides.

[tex]6x - 5x = 5x +15 - 5x[/tex] [tex]x = 15[/tex]

Step 4: Check if solution is correct.

[tex]6(15)+20=(15)+40+4(15)-5[/tex] [tex]90 + 20 = 15 + 40 + 60 - 5[/tex] [tex]110 = 55 + 60 - 5[/tex] [tex]110 = 115 - 5[/tex] [tex]110 = 110[/tex]

3. Now, let's plug in 15 for 6x + 20:

[tex]6(15)+20[/tex] [tex]90+20[/tex] [tex]110[/tex]

Therefore, m∠QPT = 110°.

answer:

120


explain..
i hope this helps

multiply ( 2 4/5 ) x ( -5 2/3 )
( -10 8/15 )
( -15 13/15 )
( 10 8/15 )
( 15 13/15 )

Answers

Answer:

Step-by-step explanation:

First turn the mixed fractions into improper fractions

--> ([tex]\frac{2*5+4}{5}[/tex]) × ([tex]\frac{-5*5+4}{3}[/tex])

      [tex]\frac{14}{5}[/tex]×[tex]\frac{-17}{3}[/tex]

Then multiply. the answer becomes −15 13/15

b(n) = 4 – 6(n-1)
Find the 4th term in the sequence.

Answers

Answer:

B4= 4-6(4-1)

B4= 4-7(3)

B4= 4-18

B4= -14

write 7/571 as a mixed number!

Answers

Answer:

It is a proper fraction so it cannot be written as a mixed number.

Step-by-step explanation:

What is the best description of the relation?

Answers

Answer:

The relation is not a function.

Step-by-step explanation:

A function is a relation in which no two ordered pairs have the same input  and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input corresponds with exactly one output.

In this case, the answer is no.  The input value of 10 corresponds with two output values, 4 and 20.  It only takes one input value to associate with more than one output value to be invalid as a function.

Therefore, the given relation is not a function.

Given f(x) = 5x + 32, find the following.pls don't send me a link to something and. pls pls help me this is due today and I'm still struggling with it ​

Answers

Answer:

thank you for points....

Please help me on this it’s due please help me

Answers

9 1/2 * 15.15 = $143.925 dollar

Tìm câu trả lời trong file

Answers

Answer:

please mark me as brilliant and answer my questions

A little help? A set of numbers is given below. √72, 9.25, √83, 2, 8.7 Which list correctly orders the numbers from least to greatest?​

Answers

Answer:

9.25, 83^1/2, 8.7, 72^1/2, 2 From greatest to least

2, 72^1/2, 8.7, 83^1/2, 9.25 from least to greatest

Step-by-step explanation:

May I please receive help?

Answers

4, -1/4 -1,

we can do this simply by

(y2-y1)/(x2-x1)

and simplifying

Will give brainliest if correct
Find the slope:
15. (4, 3); (-1, 10)
16. (3, -5); (2, -5)
17. (-5, 2); (-5, 3)

Answers

Answer:

15) Slope (m) = -7/5

16) Slope (m) = 0

17) Slope (m) = 1/0 (It's an undefined slope, in other words it's just a vertical line)

Step-by-step explanation:

Use this formula for each, to find slope⤵⤵⤵

[tex] \frac{y {2} - y1}{x2 - x1} [/tex]

15) ⤵

[tex] \frac{10 - 3}{ - 1 - 4} = \frac{7}{ - 5} = - \frac{7}{5} [/tex]

16) ⤵

[tex]\frac{ - 5 - ( - 5)} {2 - 3} = \frac{0}{ - 1} = 0[/tex]

17) ⤵

[tex] \frac{ 3 - 2}{ - 5 - ( - 5)} = \frac{1}{0} [/tex]

Hope this helps :)

If tan A = | and tan B = Root3
evaluate
i) CosA cos B - sinA sinB
ii) sinA cosB+ cosA cosB

Answers

Answer:

i)

Step-by-step explanation:

Tan a = 1

Tan A = tan 45

A = 45.

Now,

Tan b = root 3

Tan b = tan 60.

B = 60.

Now ,

Cos a * cos b - sin A * sin B

= cos 45 * cos 60 - sin 45 * sin 60

= 1/root 2 * 1/2 - 1/root 2 * root 3 /2

= 1 /root 2 ( 1/2 - root 3 /2)

= 1/root 2 * 1 - root 3 /2

= 1 - root 3 / 2 root 2.

pls need answer fast asap need help 100 pts!!!

Answers

Answer:

Answer:

8% is the answer

Answer:

8%

Step-by-step explanation:

8/13×2/6 in its simplest form

Answers

I think it’s 883828282

Answer:

[tex]\frac{9}{39}[/tex]

Step-by-step explanation:

Multiply the two denominators together and the two numerators:

[tex]\frac{8}{13} * \frac{2}{6} = \frac{8 * 2}{13 * 6}[/tex]

[tex]= \frac{16}{78}[/tex]

Divide both numbers by two to simplify:

[tex]\frac{18 / 2}{78 / 2} = \frac{9}{39}[/tex]

So the simplest form is:

[tex]\frac{9}{39}[/tex]

Hope this helps!

Find the unknown value in each proportion. Round to the nearest tenth if needed.

[tex] \frac{4}{5} [/tex]
[tex] \frac{4}{3} [/tex]
[tex] \frac{3}{7} [/tex]
[tex] \frac{13}{15} [/tex]

Answers

Answer:

4/5=16/20

4/3=4/3 or 1 1/3

3/7=0.42857

13/15=0.86666

Step-by-step explanation:

i dont know

if i did that right but your welcome

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